102102111100 has 216 divisors, whose sum is σ = 253362176144. Its totient is φ = 35659008000.

The previous prime is 102102111077. The next prime is 102102111151. The reversal of 102102111100 is 1111201201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31736692 + ... + 31739908.

Almost surely, 2^102102111100 is an apocalyptic number.

102102111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126681088072).

102102111100 is an abundant number, since it is smaller than the sum of its proper divisors (151260065044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102102111100 is a wasteful number, since it uses less digits than its factorization.

102102111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102102111100 its reverse (1111201201), we get a palindrome (103213312301).

The spelling of 102102111100 in words is "one hundred two billion, one hundred two million, one hundred eleven thousand, one hundred".